Measuring Synchronization for coupled systems using Visibility Graph Similarity
1AyanMitra, Department of Electrical Engineering, Jadavpur University, Jadavpur, Kolkata (West Bengal), India.
2BudhadityaPyne, Department of Electrical Engineering, Jadavpur University, Jadavpur, Kolkata (West Bengal), India.
Manuscript received on 18 August 2012 | Revised Manuscript received on 25 August 2012 | Manuscript published on 30 August 2012 | PP: 163-168 | Volume-1 Issue-3, August 2012 | Retrieval Number: C0298071312/2012©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Synchronization is defined as interdependencies among two or more time series. Recent advances on information theory and non-linear dynamical systems has allowed us to investigate different types of synchronization measures on different time series data such Electroencephalogram (EEG), Magnetoencephalogram (MEG) and other non-stationary signals.However,these kind of statistical interdependencies are also prominently observed in the coupled chaotic systems occurring in nature. In most coupled systems the internal variants and the interdependencies among their subsystems are not accessible. Therefore, to measure the statistical interdependencies among the coupled systems, different non-linear approaches has been adopted thateffectively determines the amount of synchronization between the dynamical systems under investigation. In this paper the recently proposed synchronization measurement performance of the Visibility Graph Similarity (VGS)10,11 is computed for two coupled identical Hénon map, two non-identical coupled rössler and Lorenz system over the entire time domain & also compared against linear correlation to estimate the superiority of the method.
Keywords: Coupled Model Systems, Dynamic Systems, Nonlinear System, Synchronization.
Scope of the Article: Expert Systems